An evolutionary model of beta Lyrae

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Eclipsing Binary Stars, Stellar Evolution, Stellar Models, Angular Momentum, Hertzsprung-Russell Diagram, Mass Transfer, Roche Limit, Stellar Luminosity, Stellar Spectra

Scientific paper

It is demonstrated that the existence and the basic properties of beta Lyrae can be explained as a natural consequence of binary evolution in the case where the primary fills its critical Roche lobe during the expansion following core hydrogen exhaustion. The evolution of a binary system with initial parameters of 10 solar masses for the primary, 3.7 solar masses for the secondary, and 3.44 days for the period is computed on the assumption of conservation of total mass and orbital angular momentum. A formula is used which relates the rate of mass outflow from the primary to the excess of its radius over its critical radius. It is found that after 63,500 years of mass transfer between the components, the parameters of the model system show very good agreement with the least controversial observational parameters of beta Lyrae. A slight discrepancy in mass-transfer rate is attributed to the very serious uncertainties in both the observational data and the theoretical parameters.

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